My REL R-205 had a rattle when pushed a little I assumed it was the driver (as I bought it used) so I tried a few other 10" drivers I have lying around ( earthquake, Boston g5-10") but had the similar rattle. So looked on Craigslist and found a JLW6-V2-D4 driver and it worked awesome.
It's been awhile but what I kinda remember is the driver can be wired in 2 ohm or 8 ohm, I wired it 8 ohm first but was not getting much output so I tried 2 ohm and performed great with no rattle, so I left it that way until I sold it with original driver. I never really put a lot of hours on it after that to know the long term effects. I know this is kinda of getto and it's probably hard on the amp but it was cheap fun considering I bought it at a yard sale for $25 to start with.
Now I just bought the REL R-305 and when pushed a little I get that same rattle, bums me out considering the price of these things new.
I think original drivers are 4 ohm so maybe a single voice coil JL-W6 4 ohm driver would be safer if they make one.
I just wanted to post this to let people know there might be hope for that rattling REL subwoofer. I still have my JLW6-V2-D4 driver sitting on a shelf if mine gets any worse but I will be keeping an eye out for a cool replacement driver to have on hand in a 4 ohm.